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Finding the Fourth Proportional to 1,038.18, 1,432.53 and 618.53

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Solution

The fourth proportional to 1,038.18, 1,432.53 and 618.53 is: 853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.18 : 1,432.53 = 618.53 : x
  2. Step 2: Convert to fraction form
    1,038.18/1,432.53 = 618.53/x
  3. Step 3: Cross multiply
    1,038.18x = 1,432.53 × 618.53
  4. Step 4: Simplify right side
    1,038.18x = 886,055.62
  5. Step 5: Solve for x
    x = 886,055.62/1,038.18
  6. Step 6: Final answer
    x = 853.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.